11090337805056 has 144 divisors (see below), whose sum is σ = 29779776811008. Its totient is φ = 3663862272000.

The previous prime is 11090337805049. The next prime is 11090337805177. The reversal of 11090337805056 is 65050873309011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11090337804996 and 11090337805014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94648906 + ... + 94766006.

It is an arithmetic number, because the mean of its divisors is an integer number (206804005632).

Almost surely, 2^{11090337805056} is an apocalyptic number.

11090337805056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11090337805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889888405504).

11090337805056 is an abundant number, since it is smaller than the sum of its proper divisors (18689439005952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11090337805056 is a wasteful number, since it uses less digits than its factorization.

11090337805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118218 (or 118204 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 11090337805056 in words is "eleven trillion, ninety billion, three hundred thirty-seven million, eight hundred five thousand, fifty-six".